Abstract
The flow around two circular airfoils positioned side by side (across the stream) at different distances between the airfoils is considered. The LS-STAG method, which belongs to the class of immersed boundary method is used for numerical simulation that makes it possible to calculate using rather coarse meshes. Stationary and trigger flow regimes have been simulated, as well as the patterns of flow with synchronization of two vortex trails in-phase and in anti-phase. For each regime, the typical dependences of coefficients of drag force and lift force on the time are presented. The obtained results are in good agreement with the known experimental and computational data.
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Marchevskii, I.K. and Puzikova, V.V., Numerical simulation of the flow around two fixed circular airfoils positioned in tandem using the LS-STAG method, J. Mach. Manuf. Reliab., 2016, no. 2, pp. 130–136.
Zdravkivich, M.M., Review of flow interference between two circular cylinders in various arrangements, J. Fluids Eng., 1977, vol. 99, no. 4, pp. 618–633.
Kaplunov, S.M., Val’es, N.G., Samolysov, A.V., Marchevskaya, O.A., Determining the tube bundle streamlining critical parameters using the numerical experiment method, Therm. Eng., 2015, vol. 62, no. 8. pp. 593–597.
Kang, S., Characteristics of flow over two circular cylinders in a side-by-side arrangement at low Reynolds numbers, Phys. Fluids, 2003, vol. 15, no. 9, pp. 2486–2498.
Cheny, Y. and Botella, O., The LS-STAG method: a new immersed boundary/level-set method for the computation of incompressible viscous flows in complex moving geometries with good conservation properties, J. Comput. Phys., 2010, vol. 229, no. 4, pp. 1043–1076.
Mittal, R. and Iaccarino, G., Immersed boundary methods, Annu. Rev. Fluid Mech., 2005, vol. 37, pp. 239–261.
Fletcher, C.A.J., Computational Techniques for Fluid Dynamics. Specific Techniques for Different Flow Categories, Berlin, Heidelberg: Springer-Verlag, 1988, vol. 2.
Harlow, F.H. and Welch, J.E., Numerical computation of time-dependent viscous incompressible flow of fluid with free surfaces, Phys. Fluids, 1965, no. 8, pp. 2181–2189.
Osher, S. and Fedkiw, R.P., Level Set Methods and Dynamic Implicit Surfaces, New York: Springer, 2003.
Puzikova, V.V., The way to solve a set of linear algebraic equations by means of BiCGStab method with preconditioning, Vestn. Mosk. Gos. Tekhn. Univ. im. N.E. Baumana. Ser.: Estestv. Nauki, 2011, special issue: Applied Mathematics, pp. 124–133.
Marchevsky, I. and Puzikova, V., Application of the LS-STAG immersed boundary method for numerical simulation in coupled aeroelastic problems, Proc. 11th World Congress on Computational Mechanics, 5th European Conf. on Computational Mechanics, 6th European Conf. on Computational Fluid Dynamics, Barcelona, 2014, pp. 1995–2006.
Williamson, C.H.K., Evolution of a single wake behind a pair of bluff bodies, J. Fluid Mech., 1985, vol. 159, pp. 1–18.
Zhang, C.H., Liu, Y., and So, R.M.C., Three dimensional wake interactions for cylinders array in a cross flow, Proc. 8th Int. Conf. on Flow-Induced Vibration, Paris, 2004, vol. 1, pp. 313–318.
Meneghini, J.R., Saltara, F., Siqueira, C.L.R., and Ferrari, J.A., Jr., Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements, J. Fluids Struct., 2001, vol. 15, no. 2, pp. 327–350.
Lee, K., Yang, K.-S., and Yoon, D.-H., Flow-induced forces on two circular cylinders in proximity, Comput. Fluids, 2009, vol. 38, no. 1, pp. 111–120.
Lee, K. and Yang, K.-S., Flow patterns past two circular cylinders in proximity, Comput. Fluids, 2009, vol. 38, no. 4, pp. 778–788.
Fallah, K., Fardad, A., Sedaghatizadeh, N., et al., Numerical simulation of flow around two rotating circular cylinders in staggered arrangement by multi-relaxation-time lattice Boltzmann method at low Reynolds number, World Appl. Sci. J., 2011, vol. 15, no. 4, pp. 544–554.
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Original Russian Text © I.K. Marchevskii, V.V. Puzikova, 2017, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2017, No. 2, pp. 33–39.
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Marchevskii, I.K., Puzikova, V.V. Numerical simulation of the flow around two circular airfoils positioned across the stream using the LS-STAG method. J. Mach. Manuf. Reliab. 46, 114–119 (2017). https://doi.org/10.3103/S105261881702011X
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DOI: https://doi.org/10.3103/S105261881702011X